An estate valued at $510,000 is to be distributed among the wife, 2 children, and 3 grandchildren. The children each receive two times as much as each grandchild, and the wilf will receive five times as much as each child. How much will each member get?

Each grandchild receives x.

Each child receives 2 times as much as a grandchild, so each child receives 2x.

The wife receives 5 times as much as a child, so the wife receives 5 * 2x = 10x.

There is 1 wife: 10x

There are 2 children: 2 * 2x = 4x

There are 3 grandchildren: 3x

Total: 10x + 4x + 3x = 17x

17x = 510,000

x = 30,000

Answer:

Each grandchild gets $30,000.

Each child gets 2 * $30,000 = $60,000.

The wife gets 10 * $30,000 = $300,000.